social-utility-with-list.nlogo

;; Version 2 of simulating Brock & Durlauf's (2001) model of social interactions.
;; THIS VERSION: Extensions.
;; Author: David Smerdon
;; Date: 2 September 2021

;; EXTENSIONS:
;;
;; (1) Allow turtles to have different conformism values, drawn from a distribution with mean `conformism`
;; (2) Decrease the connectedness (average number of links) of the fully-connected network
;; (3) Form the network via a 'homophily' rule:
;;     The likelihood of forming a link between two turtles decreases in the difference between their
;;     respective `private-diff` values; that is,
;;     Pr(link) ~ 1 / (self(private-a - private-b) - neighbor(private-a - private-b))
;; (4) Form the network via a social centrality rule:
;;     Turtles with high private-conformism have higher centrality (i.e., higher likelihood of forming links)
;; (5) Instead of (1), allow for 'types' (breeds?) of turtles, following a belief heirarchy

;; (6) Remove the network structure and instead use patches, following the Schelling setup
;; (7) {MAJOR} Increase the number of choices from 2 to N
;; ------------------------------------------------------------------------------- ;;

extensions [ table ]

globals [ colours ]

turtles-own [
  private-values
  my-choice
  private-conformism ;;For now, this will just be conformism for all. Later we can introduce heterogeneity.
]

to setup
  clear-all
  set-default-shape turtles "turtle"

  let initial-proportions-list runresult initial-proportions
  let public-values-list runresult public-values

  let n length public-values-list

  if length initial-proportions-list != n [
    error "initial-proportions must be the same length as public-values"
  ]

  ; Make sure each value can be associated to a unique colour
  set colours map [ i -> hsb (i * 360 / n) 100 75 ] range n

  create-turtles number-of-agents [
    create-links-with other turtles [ ; fully connected network
      set color [255 255 255 10] ; make links white, but mostly transparent
    ]
    set size 2
    set my-choice nobody ; just to indicate the value is not set yet
  ]
  layout-circle turtles (world-width / 2 - 2)  ;is there a nicer way using nw: to make the initial network?

  foreach range n [ i ->
    let num-turtles number-of-agents * item i initial-proportions-list
    ask up-to-n-of num-turtles turtles with [ my-choice = nobody ] [
      set my-choice i
      set color item i colours
      set private-values map [ v -> random-normal v standard-dev ] public-values-list
      set private-conformism n-values n [ i1 ->
        n-values n [ i2 ->
          ifelse-value i1 = i2 [ 0 ] [ conformism ]
        ]
      ]
    ]
  ]

  reset-ticks

end

to go
  let anyone-switched? false
  ask turtles [
    let new-choice best-choice
    if new-choice != my-choice [
      set anyone-switched? true
      set my-choice new-choice
      set color item my-choice colours
    ]
  ]
  tick
  if not anyone-switched? [ stop ] ;;Stop when no turtle wants to switch anymore.
end

to-report best-choice

  let t table:counts [ my-choice ] of link-neighbors

  ; her we're mutating the table directly replacing the count with a score
  foreach table:keys t [ choice ->
    let n table:get t choice
    let proportion-with-that-choice n / count link-neighbors
    ; the next line is probably wrong, but you can fix that:
    let social-utility 2 * (item choice item my-choice private-conformism) * proportion-with-that-choice
    let score social-utility - (item my-choice private-values - item choice private-values)
    table:put t choice score
  ]

  ; sorry, this is ugly, but it sorts the table by score and reports the best choice
  report first first sort-by [ [a b] -> last a > last b ] table:to-list t

end
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"" "let counts table:counts [ my-choice ] of turtles\nforeach range length colours [ i ->\n  create-temporary-plot-pen (word i)\n  set-plot-pen-color item i colours\n  plot (table:get-or-default counts i 0) / count turtles\n]\n"
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@#$#@#$#@
## WHAT IS IT?

(a general understanding of what the model is trying to show or explain)

## HOW IT WORKS

(what rules the agents use to create the overall behavior of the model)

## HOW TO USE IT

(how to use the model, including a description of each of the items in the Interface tab)

## THINGS TO NOTICE

(suggested things for the user to notice while running the model)

## THINGS TO TRY

(suggested things for the user to try to do (move sliders, switches, etc.) with the model)

## EXTENDING THE MODEL

(suggested things to add or change in the Code tab to make the model more complicated, detailed, accurate, etc.)

## NETLOGO FEATURES

(interesting or unusual features of NetLogo that the model uses, particularly in the Code tab; or where workarounds were needed for missing features)

## RELATED MODELS

(models in the NetLogo Models Library and elsewhere which are of related interest)

## CREDITS AND REFERENCES

(a reference to the model's URL on the web if it has one, as well as any other necessary credits, citations, and links)
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NetLogo 6.2.0
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